A geometric wave function for a few interacting bosons in a harmonic trap

B. Wilson; A. Foerster; C. C.N. Kuhn; I. Roditi; D. Rubeni

doi:10.1016/j.physleta.2014.02.009

A geometric wave function for a few interacting bosons in a harmonic trap

B. Wilson
, A. Foerster
, C. C.N. Kuhn
, I. Roditi
, D. Rubeni

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

Abstract

We establish a new geometric wave function that combined with a variational principle efficiently describes a system of bosons interacting in a one-dimensional trap. By means of a combination of the exact wave function solution for contact interactions and the asymptotic behavior of the harmonic potential solution we obtain the ground state energy, probability density and profiles of a few boson system in a harmonic trap. We are able to access all regimes, ranging from the strongly attractive to the strongly repulsive one with an original and simple formulation.

Original language	English
Pages (from-to)	1065-1070
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	378
Issue number	16-17
DOIs	https://doi.org/10.1016/j.physleta.2014.02.009
Publication status	Published - 14 Mar 2014
Externally published	Yes

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10.1016/j.physleta.2014.02.009

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title = "A geometric wave function for a few interacting bosons in a harmonic trap",

abstract = "We establish a new geometric wave function that combined with a variational principle efficiently describes a system of bosons interacting in a one-dimensional trap. By means of a combination of the exact wave function solution for contact interactions and the asymptotic behavior of the harmonic potential solution we obtain the ground state energy, probability density and profiles of a few boson system in a harmonic trap. We are able to access all regimes, ranging from the strongly attractive to the strongly repulsive one with an original and simple formulation.",

author = "B. Wilson and A. Foerster and Kuhn, \{C. C.N.\} and I. Roditi and D. Rubeni",

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T1 - A geometric wave function for a few interacting bosons in a harmonic trap

AU - Wilson, B.

AU - Foerster, A.

AU - Kuhn, C. C.N.

AU - Roditi, I.

AU - Rubeni, D.

N1 - Funding Information: The authors acknowledge financial support from CAPES (Proc. 10126-12-0 ), CNPq , and FAPERJ . They also thank I. Brouzos and P. Schmelcher for providing some of their data. A.F. thanks M.T. Batchelor, X.W. Guan and Y. Levin for many helpful discussions. I.R. thanks I.S. Oliveira for an interesting exchange of views.

PY - 2014/3/14

Y1 - 2014/3/14

N2 - We establish a new geometric wave function that combined with a variational principle efficiently describes a system of bosons interacting in a one-dimensional trap. By means of a combination of the exact wave function solution for contact interactions and the asymptotic behavior of the harmonic potential solution we obtain the ground state energy, probability density and profiles of a few boson system in a harmonic trap. We are able to access all regimes, ranging from the strongly attractive to the strongly repulsive one with an original and simple formulation.

AB - We establish a new geometric wave function that combined with a variational principle efficiently describes a system of bosons interacting in a one-dimensional trap. By means of a combination of the exact wave function solution for contact interactions and the asymptotic behavior of the harmonic potential solution we obtain the ground state energy, probability density and profiles of a few boson system in a harmonic trap. We are able to access all regimes, ranging from the strongly attractive to the strongly repulsive one with an original and simple formulation.

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DO - 10.1016/j.physleta.2014.02.009

M3 - Article

AN - SCOPUS:84897026936

SN - 0375-9601

VL - 378

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EP - 1070

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 16-17

ER -

A geometric wave function for a few interacting bosons in a harmonic trap

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